Corsi a.a. 2021-2022
Corsi per tipo (click nel tipo per visualizzare i suoi corsi)
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GEOMETRIA RIEMANNIANA (GE430) | semestre II | |||
 
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INTERMEDI ▾ N : 11
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SPECIALI ▾ N : 11
Nome corso | Note | Periodo | Calen dario |
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SPAZI PROIETTIVI E TRASFORMAZIONI BIRAZIONALI (GE520)
Spazi proiettivi e trasformazioni birazionali (GE520)PROGRAMMA | ||||
 
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LA TEORIA CINETICA DEI GAS E IL MODELLO DI KAC
La teoria cinetica dei gas e il modello di KacAbstract: | Aprile- Maggio 2022 |
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ANALISI NEGLI SPAZI METRICI
Analisi negli spazi metriciMolti oggetti dell'Analisi, come l'energia di Dirichlet | I semestre |
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PROGRAMMAZIONE IN PYTHON E MATLAB (IN400) | Semestre I |
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RATIONAL SIMPLE CONNECTEDNESS IN COMPLEX ALGEBRAIC GEOMETRY
Rational simple connectedness in complex algebraic geometryThe main goal of this course will be to study a very recent notion in complex algebraic geometry, which generalises rational connectedness: the rational simple connectedness. This notion has, at least conjecturally, striking applications to the existence of rational sections for rationally connected fibrations over surfaces. It is well known that rationally connected fibrations over curves have sections, but the problem becomes much more subtle over higher dimensional base: it is very easy to construct conic bundles over surfaces having no rational sections. Just recently de Jong and Starr introduced the notion of rational simple connectedness for polarised varieties, while looking for sufficient In this course I will discuss the following topics: 1. rational curves on Fano varieties;
2. rational simple connectedness of complete intersections;
3. rational simple connectedness of rational homogeneous varieties and Serre's conjecture II;
4. rational simple connectedness and higher Fano varieties.
| June-July 2022 |
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STACKS AND MODULI
STACKS AND MODULIThe course will give an introduction to the theory of algebraic stacks, | March - May , 2022 |
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HANDS ON CONTINUUM MECHANICS
(MINI COURSE)
Hands on Continuum Mechanics (mini course)Goal: understand the fundamentals of continuum mechanics through worked examples. Participants will tackle some typical problems of continuum mechanics, and will learn to implement a problem using the weak formulation into the COMSOL software and to discuss the solution. | March 2022 |
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INTRODUCTION TO EXPANSIONS IN NON-INTEGER BASES
Introduction to expansions in non-integer bases
expansions. This led to hundreds of papers in the past thirty years. We propose an introduction to this subject, which is still rich in open problems. The plan of our course is the following:
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References: • A. R´enyi, Representations for real numbers and their ergodic properties, Acta Math. Hungar. 8 (1957) 477–493. • P. Erd?os, I. Jo´o, P V. Komornik, Characterization of the unique expansions 1 = 1i =1 q−ni and related problems, Bull. Soc. Math. France 118 (3) (1990) 377– 390. • V. Komornik, P. Loreti, Unique developments in non-integer bases, Amer. Math. Monthly 105 (7) (1998) 636–639. • M. de Vries, V. Komornik, Unique expansions of real numbers, Adv. Math. 221 (2) (2009) 390–427. • V. Komornik, A. C. Lai, M. Pedicini, Generalized golden ratios of ternary alphabets, J. Eur. Math. Soc. (JEMS), 13 (4) (2011) 1113–1146. • V. Komornik, D. Kong, W. Li, Hausdor↵ dimension of univoque sets and devil’s staircase, Adv. Math. 305 (2017) 165–196. | May 2022 |
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VERSO LA TEORIA DELL’INFORMAZIONE, LE RETI NEURALI E OLTRE (CORSO DI LETTURE)
Verso la teoria dell’informazione, le reti neurali e oltre (Corso di letture)Tematiche del corso: | Nov 2021 |
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APPLICATIONS OF FOURIER ANALYSIS IN THE THEORY AND CONTROL OF PDES
Applications of Fourier analysis in the theory and control of PDEsFourier analysis is historically strongly linked to the resolution of PDEs with the fundamental example of the heat equation that was initially introduced by Fourier himself. In this course, we will first give an introduction of the different concepts entering in the Fourier analysis. | October 2021 |
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GEOMETRY OF PROJECTIVE ALGEBRAIC VARIETIES
EXAMPLES, PROBLEMS, EXERCISES
Geometry of projective algebraic varieties Examples, problems, exercisesAbstract: | Starting March 22, 2022 |
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